Continuous Time Controller Based on SMC and Disturbance Observer for Piezoelectric Actuators

S. Yannier; A. Sabanovic

doi:10.15866/irephy.v13i2.19559

Continuous Time Controller Based on SMC and Disturbance Observer for Piezoelectric Actuators

^(*) Corresponding author

DOI's assignment:
the author of the article can submit here a request for assignment of a DOI number to this resource!
Cost of the service: euros 10,00 (for a DOI)

Abstract

In this work, the analog application for the Sliding Mode Control (SMC) to piezoelectric actuators (PEA) is presented. DSP application of the algorithm suffers from ADC and DAC conversions and mainly faces limitations in sampling time interval. Moreover piezoelectric actuators are known to have a very large bandwidth that is close to the DSP operation frequency. Therefore, by means of the direct analog application, the improvement of the performance and a high frequency operation are expected. The design of an appropriate SMC together with a disturbance observer is suggested to have continuous control output and related experimental results for position tracking are presented with a comparison of DSP and the analog control application.
Copyright © 2019 Praise Worthy Prize - All rights reserved.

Keywords

Sliding Mode Control; Disturbance Observer; Piezoelectric Actuator; Analog Electronics

Full Text:

PDF

References

A. Suleman and A. P. Costa, "Adaptive control of an aeroelastic flight vehicle using piezoelectric actuators," Computers & Structures, vol. 82, pp. 1303-1314, 2004.

S. Ashley, "Digital dampers," in Mechanical Engineering, vol. 120: American Society of Mechanical Engineers, 1998, pp. 130.

"Shape shifting aircraft," in Design Engineering: Centaur Communications, 2001, pp. 5.

B. M. Chen, T. H. Lee, C.-C. Hang, Y. Guo, and S. Weerasooriya, "An Hinf almost disturbance decoupling robust controller design for a piezoelectric bimorph actuator with hysteresis," Control Systems Technology, IEEE Transactions on, vol. 7, pp. 160-174, 1999.

H. Richter, E. A. Misawa, D. A. Lucca, and H. Lu, "Modeling nonlinear behavior in a piezoelectric actuator," Precision Engineering, vol. 25, pp. 128-137, 2001.

PI, "Physik Instrumente (PI) GmbH & Co. KG: http://www.physikinstrumente.de," 2005.

S. Bauer, "Piezo-, pyro- and ferroelectrets: soft transducer materials for electromechanical energy conversion," Dielectrics and Electrical Insulation, IEEE Transactions on [see also Electrical Insulation, IEEE Transactions on], vol. 13, pp. 953-962, 2006.

H.-J. Shieh, F.-J. Lin, P.-K. Huang, and L.-T. Teng, "Adaptive tracking control solely using displacement feedback for a piezo-positioning mechanism," Control Theory and Applications, IEE Proceedings-, vol. 151, pp. 653-660, 2004.

K. Abidi, "Sliding-Mode control for high-precision motion control systems / Thesis Advisor Asif Sabanovic." Istanbul: Sabanci University, 2004.

H. J. M. T. S. Adriaens, W. L. De Koning, and R. Banning, "Modeling piezoelectric actuators," Mechatronics, IEEE/ASME Transactions on, vol. 5, pp. 331-341, 2000.

R. Banning, W. L. de Koning, H. J. M. T. A. Adriaens, and R. K. Koops, "State-space analysis and identification for a class of hysteretic systems," Automatica, vol. 37, pp. 1883-1892, 2001.

M. Goldfarb and N. Celanovic, "Modeling piezoelectric stack actuators for control of micromanipulation," Control Systems Magazine, IEEE, vol. 17, pp. 69-79, 1997.

J.-J. Tzen, S.-L. Jeng, and W.-H. Chieng, "Modeling of piezoelectric actuator for compensation and controller design," Precision Engineering, vol. 27, pp. 70-86, 2003.

C.-H. Yang and K.-M. Chang, "Adaptive Neural Network Control for Piezoelectric Hysteresis Compensation in A Positioning System," presented at Industrial Electronics, 2006 IEEE International Symposium on, 2006.

Y. Wu and Q. Zou, "Iterative control approach to compensate for the hysteresis and the vibrational dynamics effects of piezo actuators," presented at American Control Conference, 2006, 2006.

H. Jung, H. Jung, J. Y. Shim, J. Y. Shim, D. Gweon, and D. Gweon, "New Open-loop Actuating Method of Piezoelectric Actuators for Removing Hysteresis and Creep," Review of Scientific Instruments, vol. 71, 2000.

Y.-C. Yu and M.-K. Lee, "A dynamic nonlinearity model for a piezo-actuated positioning system," presented at Mechatronics, 2005. ICM '05. IEEE International Conference on, 2005.

C. Newcomb and I. Flnn, "Improving the Linearity of Piezoelectric Ceramic Actuators," Electronics Letters, vol. 18, pp. 442-444, 1982.

R. H. Comstock, "Charge Control of Piezoelectric Actuators to Reduce Hysteresis Effects." U.S. Patent 4,263,527: The Charles Stark Draper Laboratory, Inc. (Cambridge, MA), 1981.

D. Song and C. J. Li, "Modeling of piezo actuator's nonlinear and frequency dependent dynamics," Mechatronics, vol. 9, pp. 391-410, 1999.

K. Uchino, Piezolectric Actuators and Ultrasonic Motors. Boston; Dordrecht: Kluwer Academic Publishers, 1997.

S. Lining, R. Changhai, R. Weibin, and C. L. a. K. Minxiu, "Tracking control of piezoelectric actuator based on a new mathematical model," in Journal of Micromechanics & Microengineering, vol. 14, 2004, pp. 1439-1444.

N. Tamer and M. Dahleh, "Feedback control of piezoelectric tube scanners," presented at Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on, 1994.

R.-J. Wai and J.-D. Lee, "Intelligent motion control for linear piezoelectric ceramic motor drive," Systems, Man and Cybernetics, Part B, IEEE Transactions on, vol. 34, pp. 2100-2111, 2004.

K. D. Young, V. I. Utkin, and U. Ozguner, "A control engineer's guide to sliding mode control," Control Systems Technology, IEEE Transactions on, vol. 7, pp. 328-342, 1999.

K. D. Young, V. I. Utkin, and U. Ozguner, "A control engineer's guide to sliding mode control," presented at Variable Structure Systems, 1996. VSS '96. Proceedings., 1996 IEEE International Workshop on, 1996.

N. Bonnail, D. Tonneau, F. Jandard, G.-A. Capolino, and H. Dallaporta, "Variable Structure Control of a Piezoelectric Actuator for a Scanning Tunneling Microscope," in IEEE Transactions on Industrial Electronics, vol. 51, 2004, pp. 354-363.

A. Woronko, J. Huang, and Y. Altintas, "Piezoelectric tool actuator for precision machining on conventional CNC turning centers," in Precision Engineering, vol. 27, 2003, pp. 335.

K. Abidi, A. Sabanovic, and S. Yesilyurt, "Sliding mode control based disturbance compensation and external force estimation for a piezoelectric actuator," presented at Advanced Motion Control, 2004. AMC '04. The 8th IEEE International Workshop on, 2004.

K. Abidi, A. Sabanovic, and S. Yesilyurt, "Sliding-mode based force control of a piezoelectric actuator," presented at Mechatronics, 2004. ICM '04. Proceedings of the IEEE International Conference on, 2004.

S. Drakunov and V. Utkin, "A semigroup approach to discrete-time sliding modes," presented at American Control Conference, 1995. Proceedings of the, 1995.

W.-C. Su, S. V. Drakunov, and U. Ozguner, "An O(T^2) boundary layer in sliding mode for sampled-data systems," Automatic Control, IEEE Transactions on, vol. 45, pp. 482-485, 2000.

V. Utkin, "Variable structure systems with sliding modes," Automatic Control, IEEE Transactions on, vol. 22, pp. 212-222, 1977.

V. Utkin, J. Guldner, and J. Shi, Sliding Mode Control in Electro-mechanical Systems. London; Philadelphia, PA: Taylor & Francis, 1999.

M. Goldfarb and N. Celanovic, "Behavioral implications of piezoelectric stack actuators for control of micromanipulation," presented at Robotics and Automation, 1996. Proceedings., 1996 IEEE International Conference on, 1996.

K. Ohnishi, M. Shibata, and T. Murakami, "Motion control for advanced mechatronics," Mechatronics, IEEE/ASME Transactions on, vol. 1, pp. 56-67, 1996.

Refbacks

There are currently no refbacks.

Username
Password
Remember me